Completely different. The risk with the British Royalty is that the Queen is Queen of many Kingdoms. While England may still be pro-monarchy, some of these kingdoms and territories are more split down the middle. You only need one to switch, and proclaim itself a Republic, and that would severely increase the risk of more proclamations, in a domino effect. Domestically you'd have comparisons to the fall of the British Empire, and opinion may shift more against royalty domestically as a result.
Note that this scenario may still happen, but she was extremely lucid to realize its salience:
https://time.com/6212004/queen-elizabeth-republicanism-anti-...